Practice the questions given in the worksheet on graphing linear equation. The questions are based on based on graphing linear equation on coordinate graph.
1. If the point (6, 7) lie on the graph of the equation 3y = mx + 3, find the value of ‘m’.
2. Write the equation of two lines passing through (4, 10). How many more such lines are there and why?
3. Draw the graph of the following equations:
(i) y = 2x
(ii) y = 5x
(iii) y = 8
(iv) y = 10
(v) y = x
(vi) y = x
(vii) y = 3x
(viii) y = 4x
4. Draw the graph of the following equations:
(i) x = 2
(ii) x = 3
(iii) x = 4
(iv) x = 5
(v) x = 7
(vi) x = 2
(vii) x = 5
(viii) x = 10
5. Draw the graph of the following equations:
(i) y = 3x + 1
(ii) y = 2x – 3
(iii) y = 5x – 2
(iv) y = 6 – 2x
6. Draw the graph of each of the following:
(i) x + 3y = 9
(ii) x + y – 3 = 0
(iii) x + 2y = 5
(iv) x + y = 7
(v) x – 2y = 4
(vi) x – y = 5
7. Draw the graph of the following linear equations:
(i) 3x = 2y
(ii) 2x – y = 0
(iii) 2x – 3y = 8
(iv) 3x + 2y = 7
(v) 2x – 7y = 8
(vi) 3x = 4 – 2y
(vii) 2x + 5y = 12
(viii) 5x = 1 – 2y
8. Draw the graph of the equation 3x – 4y = 12. Use this graph to find the point of intersection of x – axis and y – axis. Also find the coordinates of point A where the graph meets xaxis. Also, find the coordinates of point B where the graph meets yaxis.
Answers for the worksheet on graphing linear equation are given below to check the exact answers of the above questions using graphs to solve the equations.
Answers:
1. m = 3
2. (i) x + y = 14 (ii) y = x + 6
8. Intersection of x – axis = 4, intersection of y – axis = 3
Coordinates of point A is (4, 0) and coordinates of point B is (0, 3)
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